Theorems · Theorem · field theory
RatFunc.transcendental_X
∀ {K : Type u} [inst : CommRing K] [inst_1 : IsDomain K], Transcendental K RatFunc.X- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- IsDomainstatement and proof · cited by 2,196
- RatFuncstatement and proof · cited by 301
- Transcendentalstatement and proof · cited by 91
- RatFunc.Xstatement · cited by 58
- Polynomial.transcendental_Xproof · cited by 5
- RatFunc.algebraMap_Xproof · cited by 3
- RatFunc.algebraMap_injectiveproof · cited by 3
- transcendental_algebraMap_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.map_under_lt_comap_of_weaklyQuasiFiniteAtproof · cited by 1
- FunctionField.isAlgebraic_X_over_adjoin_transcendentalproof · cited by 1